Use software to test the null hypothesis of whether there is a relationship betw

Question

Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3 times 3 contingency table shown below. Test using alpha = 0.01. (a) x^2 = (b) Find the degrees of freedom. (c) Find the critical value. x^2 = (d) The final conclusion is A. We can reject the null hypothesis that A and B are not related and accept that there seems to be a relationship between A and B. B. There is not sufficient evidence to reject the null hypothesis that there is no relationship between A and B.

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var3
Columns: None

Chi-Square test:

Hence,

a) X2 = 3.8683

b) Degrees of freedom = 4

c) Critical value = 13.2767

d) Do not reject Ho. Option B is correct.

B1 B2 B3 Total A1 49 58 56 163 A2 69 67 58 194 A3 67 58 45 170 Total 185 183 159 527

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